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Finding the Fourth Proportional to 119.54, 179.20 and 54.51

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Solution

The fourth proportional to 119.54, 179.20 and 54.51 is: 81.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 179.20 = 54.51 : x
  2. Step 2: Convert to fraction form
    119.54/179.20 = 54.51/x
  3. Step 3: Cross multiply
    119.54x = 179.20 × 54.51
  4. Step 4: Simplify right side
    119.54x = 9,768.60
  5. Step 5: Solve for x
    x = 9,768.60/119.54
  6. Step 6: Final answer
    x = 81.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.